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30916116 = 223271119587
BaseRepresentation
bin111010111101…
…1111000010100
32011011200221100
41311323320110
530403303431
63022350100
7523532310
oct165737024
964150840
1030916116
11164a6810
12a42b330
136535c7a
14416ab40
152aaa4e6
hex1d7be14

30916116 has 144 divisors (see below), whose sum is σ = 102735360. Its totient is φ = 7594560.

The previous prime is 30916111. The next prime is 30916121. The reversal of 30916116 is 61161903.

It is an interprime number because it is at equal distance from previous prime (30916111) and next prime (30916121).

It is a self number, because there is not a number n which added to its sum of digits gives 30916116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30916111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52375 + ... + 52961.

It is an arithmetic number, because the mean of its divisors is an integer number (713440).

Almost surely, 230916116 is an apocalyptic number.

30916116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30916116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367680).

30916116 is an abundant number, since it is smaller than the sum of its proper divisors (71819244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30916116 is a wasteful number, since it uses less digits than its factorization.

30916116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 30916116 is about 5560.2262543893. The cubic root of 30916116 is about 313.8544635033.

The spelling of 30916116 in words is "thirty million, nine hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 587 627 684 693 798 836 924 1174 1197 1254 1386 1463 1596 1761 1881 2348 2394 2508 2772 2926 3522 3762 4109 4389 4788 5283 5852 6457 7044 7524 8218 8778 10566 11153 12327 12914 13167 16436 17556 19371 21132 22306 24654 25828 26334 33459 36981 38742 44612 45199 49308 52668 58113 66918 73962 77484 78071 90398 100377 116226 122683 133836 135597 147924 156142 180796 200754 232452 234213 245366 271194 312284 368049 401508 406791 468426 490732 542388 702639 736098 813582 858781 936852 1104147 1405278 1472196 1627164 1717562 2208294 2576343 2810556 3435124 4416588 5152686 7729029 10305372 15458058 30916116